TY - JOUR
T1 - Symmetries, tensors, and the Horrocks bundle
AU - Fowdar, Udhav
AU - Salamon, Simon
N1 - Funding Information:
Supported by the São Paulo Research Foundation (FAPESP) [2021/07249-0].Supported by the Simons Foundation (#488635, Simon Salamon).
Publisher Copyright:
© 2022 The Authors
PY - 2022/6
Y1 - 2022/6
N2 - A study of tensors on the quaternionic projective plane HP
2 arising from a stable 3-form on C
6 and an associated action of SU(3) is related to the existence of a holomorphic rank 3 vector bundle over CP
5 discovered by Horrocks. It also leads to the construction of SU(3) invariant Spin(7) structures on HP
2, which are characterised in terms of associated 4-forms.
AB - A study of tensors on the quaternionic projective plane HP
2 arising from a stable 3-form on C
6 and an associated action of SU(3) is related to the existence of a holomorphic rank 3 vector bundle over CP
5 discovered by Horrocks. It also leads to the construction of SU(3) invariant Spin(7) structures on HP
2, which are characterised in terms of associated 4-forms.
UR - http://www.scopus.com/inward/record.url?scp=85131627016&partnerID=8YFLogxK
U2 - 10.1016/j.difgeo.2022.101892
DO - 10.1016/j.difgeo.2022.101892
M3 - Article
SN - 0926-2245
VL - 82
JO - Differential Geometry and its Applications
JF - Differential Geometry and its Applications
M1 - 101892
ER -